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trasher [3.6K]
3 years ago
8

Is 8/10 an irrational number

Mathematics
1 answer:
bearhunter [10]3 years ago
7 0
8/10<span> is usually written 4/5, so yes it is irrational. </span>
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A line passes through the point (0, 1) and has a positive slope. Which of these points could that line NOT pass through? Check a
Vinvika [58]

We have to find slopes one by one.

\\ \sf\longmapsto Slope=m=\dfrac{y_2-y_1}{x_2-x_1}

#1

  • (0,1)
  • (12,3)

\\ \sf\longmapsto \dfrac{3-1}{12-0}

\\ \sf\longmapsto \dfrac{2}{12}

\\ \sf\longmapsto \dfrac{1}{6}>0

  • Line passes through this.

#2

  • (-2,-5)

\\ \sf\longmapsto \dfrac{-5-1}{-2-0}

\\ \sf\longmapsto \dfrac{-6}{-2}

\\ \sf\longmapsto 3>0

  • Line passes through this

#3

  • (-3,1)

\\ \sf\longmapsto \dfrac{1-1}{-3-0}

\\ \sf\longmapsto \dfrac{0}{-3}=0

  • Not possible (Line passes through y axis as one co-ordinate is (0,1))

#4

  • ( 1,15)

\\ \sf\longmapsto \dfrac{15-1}{1-0}

\\ \sf\longmapsto \dfrac{14}{1}

\\ \sf\longmapsto 14>0

  • Line passes through this

#5

  • (5,-2)

\\ \sf\longmapsto \dfrac{-2-1}{5-0}

\\ \sf\longmapsto \dfrac{-3}{5}

  • Line doesnot pass through this.
6 0
3 years ago
Read 2 more answers
In Exercise, use the properties of exponents to simplify the expression.<br> (e1/2)(e4)
iogann1982 [59]

Answer:

e^{9/2}

Step-by-step explanation:

Let's consider the following expression.

(e^{1/2})(e^{4} )

We will use the Product of Powers Property. This property states that to multiply powers having the same base, we have to add the exponents.

(e^{1/2})(e^{4} )=e^{1/2+4} =e^{1/2+8/2}=e^{9/2}

The simplified expression is e^{9/2}.

7 0
3 years ago
Erin earned 68 points on her last test. If there were 80 possible points, what was
Dmitrij [34]

Answer:

85 percent

Step-by-step explanation:

68 out of 80 = 68/80

= 0.85, times 100

= 85 percent  

7 0
3 years ago
What is the sum of -3x + 9x​
Rufina [12.5K]

Answer: I believe the answer is 6x.

8 0
3 years ago
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A cone with height h and radius r has volume V = 13πr^2h. If the cone has a height of 6 in. and volume V = 8πx^2 + 24πx + 18π, w
torisob [31]

ANSWER

r = x -  \frac{3}{2}

EXPLANATION

The volume of the cone is

V=8\pi \:  {x}^{2}  + 24\pi \: x + 18\pi

The height of the is 6 inches.

We put the values into the volume of cone to get.

8\pi \:  {x}^{2}  + 24\pi \: x + 18\pi =  \frac{1}{3} \times  \pi \:  {r}^{2}  \times 6

8\pi \:  {x}^{2}  + 24\pi \: x + 18\pi = 2 \pi \:  {r}^{2}

Divide through by 2π.

4 {x}^{2}  + 12x + 9 = {r}^{2}

The expression on the LHS is a perfect square trinomial.

( {x -  \frac{3}{2} })^{2}  =  {r}^{2}

r = x -  \frac{3}{2}

5 0
4 years ago
Read 2 more answers
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